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Finding the Third Proportional to 51,807,215.50 and 113,348,289.50

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Solution

The third proportional to 51,807,215.50 and 113,348,289.50 is: 247,993,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807,215.50 : 113,348,289.50 = 113,348,289.50 : x
  2. Step 2: Convert to fraction form
    51,807,215.50/113,348,289.50 = 113,348,289.50/x
  3. Step 3: Cross multiply
    51,807,215.50x = 113,348,289.50 × 113,348,289.50
  4. Step 4: Simplify right side
    51,807,215.50x = 12,847,834,732,575,810
  5. Step 5: Solve for x
    x = 12,847,834,732,575,810/51,807,215.50
  6. Step 6: Final answer
    x = 247,993,153.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.